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57290688 = 26327131093
BaseRepresentation
bin1101101010001…
…0111111000000
310222210200001100
43122202333000
5104131300223
65403534400
71263651150
oct332427700
9128720040
1057290688
112a380384
121722a400
13bb3ba20
147874760
15506a043
hex36a2fc0

57290688 has 168 divisors, whose sum is σ = 202293728. Its totient is φ = 15095808.

The previous prime is 57290687. The next prime is 57290693. The reversal of 57290688 is 88609275.

57290688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57290683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51870 + ... + 52962.

Almost surely, 257290688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101146864).

57290688 is an abundant number, since it is smaller than the sum of its proper divisors (145003040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57290688 is a wasteful number, since it uses less digits than its factorization.

57290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 57290688 is about 7569.0612363754. The cubic root of 57290688 is about 385.5032223282.

The spelling of 57290688 in words is "fifty-seven million, two hundred ninety thousand, six hundred eighty-eight".